| 谢文平,陈大钊.大整数素性的计算机测试和软件实现[J].南华大学学报(自然科学版),2006,20(2):96~99.[.The Machine Testing and Software Realizing of Primality of Large Number[J].Journal of University of South China(Science and Technology),2006,20(2):96~99.] |
| 大整数素性的计算机测试和软件实现 |
| The Machine Testing and Software Realizing of Primality of Large Number |
| 修订日期：2006-03-01 |
| DOI： |
| 中文关键词: 素性测试 Jacobi Sums测试 ECPP测试 |
| 英文关键词:proving primality,Jacobi Sums Proving,ECPP, |
| 基金项目: |
| 谢文平 陈大钊 |
| 邵阳学院数学系,湖南邵阳422000 |
| 摘要点击次数: 683 |
| 全文下载次数: 3 |
| 中文摘要: |
| 探索和研究了素数的寻找及其素性测试的理论方法,给出了由Atkin和Morain提出的确定性素性测试方法及其软件实现,即椭圆曲线素性测试方法（ECPP）.最后通过与另一确定性测试方法Jacobi Sum测试方法进行比较,取得了比较理想的结果. |
| 英文摘要: |
| In this paper,we have researched some theories of finding primes and proving primality.And we introduced Elliptic Curve Primality Proving(ECPP) put forward by A.O.L.Atkin and F.Morain,and programmed the ECPP software.At last after we compared with Jacobi Sum Proving Method,the results we got show that ECPP really prove the primality good. |
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